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306223956 = 22339729231
BaseRepresentation
bin10010010000001…
…001101101010100
3210100012210022000
4102100021231110
51111343131311
650215235300
710405601133
oct2220115524
9710183260
10306223956
11147945655
1286678b30
134b599a0c
142c95391a
151bd3d056
hex12409b54

306223956 has 48 divisors (see below), whose sum is σ = 802126080. Its totient is φ = 101018880.

The previous prime is 306223943. The next prime is 306223979. The reversal of 306223956 is 659322603.

It is a super-2 number, since 2×3062239562 = 187546222456579872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 306223956.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4140 + ... + 25091.

It is an arithmetic number, because the mean of its divisors is an integer number (16710960).

Almost surely, 2306223956 is an apocalyptic number.

306223956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

306223956 is an abundant number, since it is smaller than the sum of its proper divisors (495902124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

306223956 is a wasteful number, since it uses less digits than its factorization.

306223956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29341 (or 29333 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 306223956 is about 17499.2558698934. The cubic root of 306223956 is about 674.0307669683.

The spelling of 306223956 in words is "three hundred six million, two hundred twenty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1164 1746 2619 3492 5238 10476 29231 58462 87693 116924 175386 263079 350772 526158 789237 1052316 1578474 2835407 3156948 5670814 8506221 11341628 17012442 25518663 34024884 51037326 76555989 102074652 153111978 306223956